What is the Greatest Common Factor of 87144 and 87150?

Greatest common factor (GCF) of 87144 and 87150 is 6.

GCF(87144,87150) = 6

We will now calculate the prime factors of 87144 and 87150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87144 and 87150.

How to find the GCF of 87144 and 87150?

We will first find the prime factorization of 87144 and 87150. After we will calculate the factors of 87144 and 87150 and find the biggest common factor number .

Step-1: Prime Factorization of 87144

Prime factors of 87144 are 2, 3, 3631. Prime factorization of 87144 in exponential form is:

87144 = 2³ × 3¹ × 3631¹

Step-2: Prime Factorization of 87150

Prime factors of 87150 are 2, 3, 5, 7, 83. Prime factorization of 87150 in exponential form is:

87150 = 2¹ × 3¹ × 5² × 7¹ × 83¹

Step-3: Factors of 87144

List of positive integer factors of 87144 that divides 87144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3631, 7262, 10893, 14524, 21786, 29048, 43572

Step-4: Factors of 87150

List of positive integer factors of 87150 that divides 87144 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 83, 105, 150, 166, 175, 210, 249, 350, 415, 498, 525, 581, 830, 1050, 1162, 1245, 1743, 2075, 2490, 2905, 3486, 4150, 5810, 6225, 8715, 12450, 14525, 17430, 29050, 43575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87144 and 87150. The biggest common factor number is the GCF number.
So the greatest common factor 87144 and 87150 is 6.

Also check out the Least Common Multiple of 87144 and 87150